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Finding the Fourth Proportional to 8,330.44, 12,502.14 and 7,813.66

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Solution

The fourth proportional to 8,330.44, 12,502.14 and 7,813.66 is: 11,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.44 : 12,502.14 = 7,813.66 : x
  2. Step 2: Convert to fraction form
    8,330.44/12,502.14 = 7,813.66/x
  3. Step 3: Cross multiply
    8,330.44x = 12,502.14 × 7,813.66
  4. Step 4: Simplify right side
    8,330.44x = 97,687,471.23
  5. Step 5: Solve for x
    x = 97,687,471.23/8,330.44
  6. Step 6: Final answer
    x = 11,726.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.